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Conductivity of a disorder-free intrinsic graphene is studied to the first order in the long-range Coulomb interaction and is found to be \sigma=\sigma_0(1+0.01 g), where 'g' is the dimensionless ("fine structure") coupling constant.
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The polarization operator in the non-interacting system is given by Π 0 ( ω , q ) = − 4 i Tr ∫ d ϵ 2 π ∑ 𝐩 G ^ ϵ 𝐩 G ^ ϵ + ω , 𝐩 + 𝐪 \Pi_{0}(\omega,q)=-4i\mbox{Tr}\int\frac{d\epsilon}{2\pi}\sum_{\bf p}\hat{G}_{\epsilon\bf p}\hat{G}_{\epsilon+\omega,\bf p+q} , which yields σ 0 = 2 i e 2 ω ∑ 𝐩 v p ( ω 2 − 4 v 2 p 2 ) , \sigma_{0}=2ie^{2}\omega\sum_{\bf p}\frac{v}{p~(\omega^{2}-4v^{2}p^{2})},
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2008
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